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Finding the Third Proportional to 306,823.50 and 656,292

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Solution

The third proportional to 306,823.50 and 656,292 is: 1,403,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,823.50 : 656,292 = 656,292 : x
  2. Step 2: Convert to fraction form
    306,823.50/656,292 = 656,292/x
  3. Step 3: Cross multiply
    306,823.50x = 656,292 × 656,292
  4. Step 4: Simplify right side
    306,823.50x = 430,719,189,264
  5. Step 5: Solve for x
    x = 430,719,189,264/306,823.50
  6. Step 6: Final answer
    x = 1,403,801.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.